Physics
Scientific paper
Apr 1961
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1961rspsa.261...91m&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 261, Issue 1304, pp. 91-96
Physics
7
Scientific paper
A construction is given for an exact solution of Einstem's empty space-time field equations representing an axially symmetric pulse wave with the properties that (i) the wave front is a sphere, outside of which all space-time is flat; (ii) a finite, expanding line singularity forms the axial diameter of this sphere. Because of (i), the solution would need to be generalized before a physical source could be introduced. The presence of radiation is confirmed by the fact that at a great distance from the centre of the wave the Riemann tensor is asymptotically of Petrov's canonical type II (with vanishing scalar invariants).
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